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Boundary Value Problems with Global Projection Conditions

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Birkhäuser

Pubblicazione: 11/2018
Edizione: 1st ed. 2018





Trama

This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concept for Boutet de Monvel’s calculus, as well as for operators on manifolds with edges, including the case of operators without the transmission property. Further, it shows how the calculus contains parametrices of elliptic elements. Lastly, the book describes natural connections to ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calderón-Seeley projections and the characterization of Cauchy data spaces.






Sommario

Introduction.- Boundary Value Problems with Global Projection Conditions.- Edge Operators with Global Projection Conditions.- BVPs without the Transmission Property.










Altre Informazioni

ISBN:

9783319701134

Condizione: Nuovo
Collana: Operator Theory: Advances and Applications
Dimensioni: 235 x 155 mm Ø 805 gr
Formato: Copertina rigida
Illustration Notes:XVI, 410 p.
Pagine Arabe: 410
Pagine Romane: xvi


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